Viscosity of Hot Gluon: A Lattice QCD Stuty

Presenting Author: Prof. Atsushi Nakamura

Author(s): A. Nakamura and S. Sakai

Abstract:

RHIC is now confirming the discovery of the "New State of Matter", which is far from the free gas state, and should have very small viscosity in order to explain the present success of the fluid dynamical model. It is now highly desired to calculate the value of the viscosity based on QCD. We report our calculation of the transport coefficients of gluon system on $16^{3} \times 8$, $24^3\times 8$ and $32^3\times 8$ lattices in the quench approximation. Simulations are carried out at $1.4 \le T/T_c \le 16$. Our results show that the ratio of the shear viscosity to the entropy is less than one, which is very small value as pointed out by Kovtun, Son and Starinets. The bulk viscosity is consistent with zero in the region, $1.4 \leq T/T_c \leq 1.8$.

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